euclid division lemma definition
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Step-by-step explanation:
Euclid's Division Lemma: ...
The basis of Euclidean division algorithm is Euclid's division lemma. To calculate the Highest Common Factor (HCF) of two positive integers a and b we use Euclid's division algorithm. HCF is the largest number which exactly divides two or more positive integers...
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Euclid's Division Lemma is basically termed as :
"For any of the two given positive integers consider it a and b, there always exist unique whole numbers, for example, consider it q and r such that
a = bq + r
where r is greater than or equal to 0 and less than b"
Furthermore, here a is represented as dividend, b for divisor, q for the quotient, and last but not the least, r for remainder, i.e.,
Dividend = (Divisor × Quotient) + Remainder
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